Question

the table below displays results from experiments with polygraph instruments. find the positive predictive value for the test. that is, find the probability that the subject lied, given that the test yields a positive result. did the subject actually lie? no (did not lie) yes (lied) positive test results 15 44 negative test results 32 11 the probability is (round to three decimal places as needed)

Explanation:

Step1: Identify relevant values

Positive - test and lied: 44, Positive - test total: 15 + 44 = 59

Step2: Calculate positive - predictive value

Positive - predictive value = $\frac{\text{True Positives}}{\text{Positive Test Results}}=\frac{44}{15 + 44}$

Step3: Perform the division

$\frac{44}{59}\approx0.746$

Answer:

0.746